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Finding the Fourth Proportional to 306,132.88, 422,326.92 and 178,752.28

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Solution

The fourth proportional to 306,132.88, 422,326.92 and 178,752.28 is: 246,598.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,132.88 : 422,326.92 = 178,752.28 : x
  2. Step 2: Convert to fraction form
    306,132.88/422,326.92 = 178,752.28/x
  3. Step 3: Cross multiply
    306,132.88x = 422,326.92 × 178,752.28
  4. Step 4: Simplify right side
    306,132.88x = 75,491,899,855.38
  5. Step 5: Solve for x
    x = 75,491,899,855.38/306,132.88
  6. Step 6: Final answer
    x = 246,598.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.